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Table 2 Multi-level negative binomial models of wait time and retention (N = 13,478)

From: Paths to improving engagement among racial and ethnic minorities in addiction health services

  Wait time Retention
  IRR 95 % CI IRR 95 % CI
Program capacity
Latent variable components
 Medi-Cal acceptance 0.564*** 0.489, 0.650 1.041 0.975, 1.112
 Readiness for change 0.705*** 0.679, 0.732 1.014* 1.001, 1.026
 Directorial leadership 1.004 0.991, 1.016 1.000 0.994, 1.006
Program capacity × Latinoa 0.131*** 0.065, 0.267 1.118 0.950, 1.317
Program capacity × African Americana 0.237*** 0.170, 0.332 1.315*** 1.170, 1.479
Organizational characteristics
Cultural competence 1.021 0.997, 1.047 1.007 0.997, 1.017
Mental health coordination 1.116 0.919, 1.354 0.970 0.904, 1.040
Public funding 0.995*** 0.993, 0.997 1.000 0.999, 1.001
Program typeb
 Methadone 0.381* 0.180, 0.804 0.834** 0.738, 0.942
 Residential 4.011*** 3.517, 4.576 0.588*** 0.561, 0.616
Client characteristics
Receipt of HIV testing services 1.300*** 1.197, 1.413 0.973 0.943, 1.005
Referral sourcec
 Community 0.839* 0.712, 0.988 1.024 0.975, 1.074
 Proposition 36 1.560*** 1.376, 1.770 0.897*** 0.848, 0.948
 Drug court 0.992 0.835, 1.177 1.209*** 1.133, 1.290
 Social service 1.042 0.952, 1.140 0.921*** 0.882, 0.962
Medi-Cal eligible 0.990 0.893, 1.098 1.132*** 1.084, 1.182
Race and ethnicityd
 African American 7.610*** 3.636, 15.928 0.952 0.797, 1.136
 Latino 4.558*** 3.195, 6.503 0.787*** 0.692, 0.896
 Other 0.766** 0.632, 0.928 1.067 0.997, 1.141
History of mental health 0.907* 0.828, 0.994 0.976 0.941, 1.012
Homeless 1.194*** 1.097, 1.300 1.065** 1.021, 1.112
  1. CI confidence interval; IRR incidence rate ratio. IRRs can be interpreted as the estimated rate ratio for a 1-unit increase in the independent variable, given the other variables are held constant in the model. For example, compared to programs that do not accept Medi-Cal, programs accepting Medi-Cal are associated with a decreased ratio of number of days waiting of IRR = 0.564, while holding all other variables in the model constant. Model statistics for wait time: F(21, 9199.7) = 80.20, p-value of F < 1 = .0001. Model statistics for retention: F(21, 40245.1) = 49.9, p-value of F < 1 = .0001. The corresponding p-value is less than .001
  2. aLow program capacity and non-Latino White are reference categories
  3. bOutpatient is reference category
  4. cSelf-referral is reference category
  5. dNon-Latino White is reference category
  6. *p < .05, **p < .01, ***p < .001